1429069824 has 448 divisors, whose sum is σ = 5284500480. Its totient is φ = 371589120.

The previous prime is 1429069799. The next prime is 1429069841. The reversal of 1429069824 is 4289609241.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 1429069824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20127709 + ... + 20127779.

It is an arithmetic number, because the mean of its divisors is an integer number (11795760).

Almost surely, 2^1429069824 is an apocalyptic number.

1429069824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642250240).

1429069824 is an abundant number, since it is smaller than the sum of its proper divisors (3855430656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1429069824 is an equidigital number, since it uses as much as digits as its factorization.

1429069824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1429069824 is about 37803.0398777664. The cubic root of 1429069824 is about 1126.3788391341.

The spelling of 1429069824 in words is "one billion, four hundred twenty-nine million, sixty-nine thousand, eight hundred twenty-four".